Abstract
The relative intensities of the resonant and nonresonant high-order harmonics, generated by singly charged gallium and indium ions in the field of a laser pulse with a duration of 20 fs and intensity ranging from 5 × 1013 to 2 × 1014 W/cm2, are calculated. The harmonic intensity is found via the matrix element of multiphoton transition within the perturbation theory including the resonant contribution. The latter increases the harmonic intensity at the transition from the ground state to the autoionizing state. We consider laser wavelength when this transition corresponds to 7 and 15 photons.
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REFERENCES
L. V. Keldysh, “Ionization in the field of a strong electromagnetic wave,” Sov. Phys.-JETP. 20 (5), 1307–1314 (1965).
R. A. Ganeev, L. B. Elouga Bom, J.-C. Kieffer, and T. Ozaki, “Systematic investigation of resonance-induced single-harmonic enhancement in the extreme-ultraviolet range,” Phys. Rev. A. 75, 063806 (2007). https://doi.org/10.1103/PhysRevA.75.063806
R. A. Ganeev, “High-order harmonic generation in laser surface ablation: current trends,” Phys.-Usp. 56 (8) 772 (2013). https://doi.org/10.3367/UFNe.0183.201308b.0815
L. Plaja and L. Roso, “High-order harmonic generation in a two-level atom effect of the multiphoton resonances tuned by the light shift,” J. Mod. Opt. 40, 793 (1993). https://doi.org/10.1080/09500349314550831
C. F. Faria, R. Kopold, W. Becker, and J.-M. Rost, “Resonant enhancements of high-order harmonic generation,” Phys. Rev. A. 65, 023404 (2002). https://doi.org/10.1103/PhysRevA.65.023404
R. Taieb, V. Veniard, J. Wassaf, and A. Maquet, “Roles of resonances and recollisions in strong-field atomic phenomena. II. High-order harmonic generation,” Phys. Rev. A. 68, 033403 (2003). https://doi.org/10.1103/PhysRevA.68.033403
M. B. Gaarde and K. Schafer, “Enhancement of many high-order harmonics via a single multiphoton resonance,” Phys. Rev. A. 64, 013820 (2001). doi.org/https://doi.org/10.1103/PhysRevA.64.013820
M. Plummer and C. J. Noble, “Resonant enhancement of harmonic generation in argon at 248 nm,” J. Phys. B: At. Mol. Opt. Phys. 35, L51 (2002). https://doi.org/10.1088/0953-4075/35/2/101
K. Ishikawa, “Photoemission and ionization of He+ under simultaneous irradiation of fundamental laser and high-order harmonic pulses,” Phys. Rev. Lett. 91, 043002 (2003). https://doi.org/10.1103/PhysRevLett.91.043002
P. A. Oleinikov, V. T. Platonenko, and G. Ferrante, “Erratum: “Resonant generation of high harmonics,” JETP Lett. 60 (4), 246 (1994).
D. Milošević, “High-energy stimulated emission from plasma ablation pumped by resonant high-order harmonic generation,” J. Phys. B: At. Mol. Opt. Phys. 40, 3367 (2007). https://doi.org/10.1088/0953-4075/40/17/005
M. V. Frolov, N. L. Manakov, T. S. Sarantseva, M. Yu. Emelin, M. Yu. Ryabikin, and A. F. Starace, “Analytic description of the high-energy plateau in harmonic generation by atoms: Can the harmonic power increase with increasing laser wavelengths?” Phys. Rev. Lett. 102 (24), 243901 (2009). https://doi.org/10.1103/PhysRevLett.102.243901
V. Strelkov, “Role of autoionizing state in resonant high-order harmonic generation and attosecond pulse production,” Phys. Rev. Lett. 104, 123901 (2010). https://doi.org/10.1103/PhysRevLett.104.123901
V.-M. Gkortsas, S. Bhardwaj, C.-J. Lai, K.-H. Hong, E. L. Falcão-Filho, and F. X. Kärtner, “Interplay of mulitphoton and tunneling ionization in short-wavelength-driven high-order harmonic generation,” Phys. Rev. A. 84, 013427 (2011). https://doi.org/10.1103/PhysRevA.84.013427
E. Fiordilino, F. Morales, G. Castiglia, P. P. Corso, R. Daniele, and V. V. Strelkov, “High-order harmonic generation via bound–bound transitions in an elliptically polarized laser field,” J. Opt. Sos. Am. B. 34 (1), 2673–2681 (2017). https://doi.org/10.1364/JOSAB.34.000018
E. A. Migal, S. Y. Stremoukhov, and F. V. Potemkin, “Ionization-free resonantly enhanced low-order harmonic generation in a dense gas mixture by a mid-IR laser field,” Phys. Rev. A. 101 (2), 021401 (2020). https://doi.org/10.1103/PhysRevA.101.021401
J. M. Ngoko Djiokap and A.F. Starace, “Origin of the multiphoton-regime harmonic-generation plateau structure,” Phys. Rev. A. 102, 013103 (2020). https://doi.org/10.1103/PhysRevA.102.013103
M. Tudorovskaya and M. Lein, “High-order harmonic generation in the presence of a resonance,” Phys. Rev. A. 84, 013430 (2011). https://doi.org/10.1103/PhysRevA.84.013430
V. V. Strelkov, M. A. Khokhlova, and N. Yu Shubin, “High-order harmonic generation and Fano resonances,” Phys. Rev. A. 89, 053833 (2014). https://doi.org/10.1103/PhysRevA.89.053833
T. Sato and K. L. Ishikawa, “Time-dependent complete-active-space self-consistent-field method for multielectron dynamics in intense laser fields,” Phys. Rev. A. 88, 023402 (2013). https://doi.org/10.1103/PhysRevA.88.023402
Y. Orimo, T. Sato, and K. L. Ishikawa, “Application of the time-dependent surface flux method to the time-dependent multiconfiguration self-consistent-field method,” Phys. Rev. A. 100, 013419 (2019). https://doi.org/10.1103/PhysRevA.100.013419
V. V. Kim, G. S. Boltaev, M. Iqbal, N. A. Abbasi, H. Al-Harmi, I. S. Wahyutama, T. Sato, K. L. Ishikawa, R. A. Ganeev, and A. S. Alnaser, “Resonance enhancement of harmonics in the vicinity of 32 nm spectral range during propagation of femtosecond pulses through the molybdenum plasma,” J. Phys. B: At. Mol. Opt. Phys. 53, 195401 (2020). https://doi.org/10.1088/1361-6455/aba581
A. I. Magunov and V. V. Strelkov, “S-matrix approach to the problem of high-harmonic generation in the field of intense laser wave,” Phys. Wave Phenom. 25 (1), 24–29 (2017). https://doi.org/10.3103/S1541308X17010046
U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. 124, 1866–1878 (1961). https://doi.org/10.1103/PhysRev.124.1866
S. L. Chin and P. A. Golovinski, “High harmonic generation in the multiphoton regime: correlation with polarizability,” J. Phys. B: At. Mol. Opt. Phys. 28, 55–63 (1995). https://doi.org/10.1088/0953-4075/28/1/008
Atomic Spectra Database, https://www.nist.gov/pml/ atomic-spectra-database
B. Peart, I. C. Lyon, and K. Dolder, “Measurements of absolute photoionisation cross sections of Ga+ and Zn+ ions,” J. Phys. B: At. Mol. Phys. 20, 5403–5410 (1987). https://doi.org/10.1088/0022-3700/20/20/018
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This study was supported by the Russian Science Foundation (project no. 16-12-10279).
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Translated by Yu. Sin’kov
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Magunov, A.I., Strelkov, V.V. Intensity of Resonant Harmonic Generated in the Multiphoton Ionization Regime. Phys. Wave Phen. 28, 369–374 (2020). https://doi.org/10.3103/S1541308X20040081
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DOI: https://doi.org/10.3103/S1541308X20040081